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Finding the Third Proportional to 36,958 and 70,514

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Solution

The third proportional to 36,958 and 70,514 is: 134,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,958 : 70,514 = 70,514 : x
  2. Step 2: Convert to fraction form
    36,958/70,514 = 70,514/x
  3. Step 3: Cross multiply
    36,958x = 70,514 × 70,514
  4. Step 4: Simplify right side
    36,958x = 4,972,224,196
  5. Step 5: Solve for x
    x = 4,972,224,196/36,958
  6. Step 6: Final answer
    x = 134,537.16

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.